An anisotropic diffusion finite volume algorithm using a small stencil

Martin Ferrand; Jacques Fontaine; Ophélie Angelini

doi:10.1007/978-3-319-05591-6_57

An anisotropic diffusion finite volume algorithm using a small stencil

Martin Ferrand
, Jacques Fontaine
, Ophélie Angelini

Lamsid/EDF/R and D

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This article presents a finite volume algorithm to solve anisotropic heterogeneous diffusion equations within the open source CFD software Code_Saturne. This algorithm has the advantage to use a small stencil composed of face neighbouring cells only, which makes it easy to parallelize. The resolution is performed through an iterative process (fixed point Picard algorithm). Second order convergence in space is numerically obtained on various analytical test-cases and mesh sequences of the FVCA6 benchmark and the results are compared to the barycentric version of the SUSHI scheme [3].

Original language	English
Title of host publication	Finite Volumes for Complex Applications VII - Methods and Theoretical Aspects, FVCA 7
Editors	Jürgen Fuhrmann, Mario Ohlberger, Christian Rohde
Publisher	Springer New York LLC
Pages	577-585
Number of pages	9
ISBN (Electronic)	9783319055909
DOIs	https://doi.org/10.1007/978-3-319-05591-6_57
Publication status	Published - 1 Jan 2014
Externally published	Yes
Event	7th International Symposium on Finite Volumes for Complex Applications-Problems and Perspectives, FVCA7 - Berlin, Germany Duration: 15 Jun 2014 → 20 Jun 2014

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	78
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	7th International Symposium on Finite Volumes for Complex Applications-Problems and Perspectives, FVCA7
Country/Territory	Germany
City	Berlin
Period	15/06/14 → 20/06/14

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10.1007/978-3-319-05591-6_57

Cite this

Ferrand, M., Fontaine, J., & Angelini, O. (2014). An anisotropic diffusion finite volume algorithm using a small stencil. In J. Fuhrmann, M. Ohlberger, & C. Rohde (Eds.), Finite Volumes for Complex Applications VII - Methods and Theoretical Aspects, FVCA 7 (pp. 577-585). (Springer Proceedings in Mathematics and Statistics; Vol. 78). Springer New York LLC. https://doi.org/10.1007/978-3-319-05591-6_57

Ferrand, Martin ; Fontaine, Jacques ; Angelini, Ophélie. / An anisotropic diffusion finite volume algorithm using a small stencil. Finite Volumes for Complex Applications VII - Methods and Theoretical Aspects, FVCA 7. editor / Jürgen Fuhrmann ; Mario Ohlberger ; Christian Rohde. Springer New York LLC, 2014. pp. 577-585 (Springer Proceedings in Mathematics and Statistics).

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title = "An anisotropic diffusion finite volume algorithm using a small stencil",

abstract = "This article presents a finite volume algorithm to solve anisotropic heterogeneous diffusion equations within the open source CFD software Code\_Saturne. This algorithm has the advantage to use a small stencil composed of face neighbouring cells only, which makes it easy to parallelize. The resolution is performed through an iterative process (fixed point Picard algorithm). Second order convergence in space is numerically obtained on various analytical test-cases and mesh sequences of the FVCA6 benchmark and the results are compared to the barycentric version of the SUSHI scheme [3].",

author = "Martin Ferrand and Jacques Fontaine and Oph{\'e}lie Angelini",

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Ferrand, M, Fontaine, J & Angelini, O 2014, An anisotropic diffusion finite volume algorithm using a small stencil. in J Fuhrmann, M Ohlberger & C Rohde (eds), Finite Volumes for Complex Applications VII - Methods and Theoretical Aspects, FVCA 7. Springer Proceedings in Mathematics and Statistics, vol. 78, Springer New York LLC, pp. 577-585, 7th International Symposium on Finite Volumes for Complex Applications-Problems and Perspectives, FVCA7, Berlin, Germany, 15/06/14. https://doi.org/10.1007/978-3-319-05591-6_57

An anisotropic diffusion finite volume algorithm using a small stencil. / Ferrand, Martin; Fontaine, Jacques; Angelini, Ophélie.
Finite Volumes for Complex Applications VII - Methods and Theoretical Aspects, FVCA 7. ed. / Jürgen Fuhrmann; Mario Ohlberger; Christian Rohde. Springer New York LLC, 2014. p. 577-585 (Springer Proceedings in Mathematics and Statistics; Vol. 78).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Y1 - 2014/1/1

N2 - This article presents a finite volume algorithm to solve anisotropic heterogeneous diffusion equations within the open source CFD software Code_Saturne. This algorithm has the advantage to use a small stencil composed of face neighbouring cells only, which makes it easy to parallelize. The resolution is performed through an iterative process (fixed point Picard algorithm). Second order convergence in space is numerically obtained on various analytical test-cases and mesh sequences of the FVCA6 benchmark and the results are compared to the barycentric version of the SUSHI scheme [3].

AB - This article presents a finite volume algorithm to solve anisotropic heterogeneous diffusion equations within the open source CFD software Code_Saturne. This algorithm has the advantage to use a small stencil composed of face neighbouring cells only, which makes it easy to parallelize. The resolution is performed through an iterative process (fixed point Picard algorithm). Second order convergence in space is numerically obtained on various analytical test-cases and mesh sequences of the FVCA6 benchmark and the results are compared to the barycentric version of the SUSHI scheme [3].

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An anisotropic diffusion finite volume algorithm using a small stencil

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